34618320 has 320 divisors, whose sum is σ = 137134080. Its totient is φ = 7948800.

The previous prime is 34618313. The next prime is 34618327. The reversal of 34618320 is 2381643.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34618313) and next prime (34618327).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34618327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736537 + ... + 736583.

It is an arithmetic number, because the mean of its divisors is an integer number (428544).

Almost surely, 2^34618320 is an apocalyptic number.

34618320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34618320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

34618320 is an abundant number, since it is smaller than the sum of its proper divisors (102515760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34618320 is a wasteful number, since it uses less digits than its factorization.

34618320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34618320 is about 5883.7335085811. The cubic root of 34618320 is about 325.9132342140.

Adding to 34618320 its reverse (2381643), we get a palindrome (36999963).

It can be divided in two parts, 3461 and 8320, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 34618320 in words is "thirty-four million, six hundred eighteen thousand, three hundred twenty".